Seven different objects must be divided among three people. In how many ways can this be done if one or two of them must get no objects?
36
84
180
381
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1
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A fair coin is tossed 5 times. What is the probability of getting at least three heads on consecutive tosses?
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2
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A box contains two white balls, three black balls and four red balls. Balls of the same colour are distinct. The number of ways in which three balls can be drawn from the box if atleast one black ball is to be included in the draw, is
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3
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There are 6 letters for 3 envelopes. In how many different ways can the envelopes be filled?
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4
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In how many ways can a group of 5 men and 2 women be made out of a total of 7 men and 3 women?
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5
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A five-letter word is to be formed from a group of 5 vowels and 4 consonants, using at least one vowel and at least one consonant. In how many ways the word having a greater number of consonants than vowels can be formed?
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6
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A polygon has 44 diagonals. What is the number of its sides?
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7
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If four dice are thrown together, then what is the probability that the sum of the numbers appearing on them is 25 ?
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8
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In a lottery, there are 10 prizes and 25 blanks. A lottery is drawn at random. What is the probability of getting a prize?
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9
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In how many ways can the letters of the word 'LEADER' be arranged?
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10
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A committee of 8 members is to be selected from a group of 12 male and 10 female members. In how many ways the committee is selected such that at most two and at least one male member are there in the committee?
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